Question : 95 is what percent of 170? Or, What percent of 170 is equal to 95?
Correct Answer 55.88%
Solution & Explanation
Solution
Given number = 170
To find, 95 is what percent of 170?
This question can be written as also
What percent of 170 is equal to 95?
⇒ ?% of 170 = 95
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 170 = 95
⇒ m% × 170 = 95
⇒ m/100 × 170 = 95
⇒ 170 m/100 = 95
After cross multiplication, we get
170 m = 95 × 100
After transposing 170 to RHS, we get
m = 95 × 100/170
⇒ m = 9500/170
⇒ m = 55.88%
Thus, 55.88% of 170 = 95
Thus, Answer = 55.88%
Shortcut Method to find a number is what percent of other
If we have to find
? % of a = b
Here, let ? = m
Thus, above expression can be written as
m% of a = b
⇒ m/100 × a = b
⇒ m × a/100 = b
After cross multiplication, we get
m × a = b × 100
⇒ m = b × 100/a
Thus, using this formula, we can find a number (a) is what (m) percent of b
In the question, we have to find what percent of 170 = 95
Here, we have ? = m
a = 170
And, b = 95
Thus, using formula
⇒ m = 95 × 100/170
= 95 × 100/170
= 9500/170 = 55.88%
Thus, 55.88% of 170 = 95
Thus, 55.88% Answer
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